- Tytuł:
- Cryptographically Strong Elliptic Curves of Prime Order
- Autorzy:
-
Barański, Marcin
Gliwa, Rafał
Szmidt, Janusz - Powiązania:
- https://bibliotekanauki.pl/articles/1844627.pdf
- Data publikacji:
- 2021
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
Mersenne primes
elliptic curves
security requirements
search algorithm
Magma - Opis:
- The purpose of this paper is to generate cryptographically strong elliptic curves over prime fields Fp, where p is a Mersenne prime, one of the special primes or a random prime. We search for elliptic curves which orders are also prime numbers. The cryptographically strong elliptic curves are those for which the discrete logarithm problem is computationally hard. The required mathematical conditions are formulated in terms of parameters characterizing the elliptic curves. We present an algorithm to generate such curves. Examples of elliptic curves of prime order are generated with Magma.
- Źródło:
-
International Journal of Electronics and Telecommunications; 2021, 67, 2; 207-212
2300-1933 - Pojawia się w:
- International Journal of Electronics and Telecommunications
- Dostawca treści:
- Biblioteka Nauki
Artykuł